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133300550880 = 25335729152003
BaseRepresentation
bin111110000100101010…
…1001111110011100000
3110202001221111121021000
41330021111033303200
54140444420112010
6141123141232000
712426211662450
oct1741125176340
9422057447230
10133300550880
115159475a932
1221a02102600
13c75491a813
146647989d60
1537029c47c0
hex1f0954fce0

133300550880 has 384 divisors, whose sum is σ = 551592115200. Its totient is φ = 29417859072.

The previous prime is 133300550869. The next prime is 133300550881. The reversal of 133300550880 is 88055003331.

It is a super-2 number, since 2×1333005508802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133300550881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 800959 + ... + 952961.

It is an arithmetic number, because the mean of its divisors is an integer number (1436437800).

Almost surely, 2133300550880 is an apocalyptic number.

133300550880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133300550880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275796057600).

133300550880 is an abundant number, since it is smaller than the sum of its proper divisors (418291564320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133300550880 is a wasteful number, since it uses less digits than its factorization.

133300550880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152063 (or 152049 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 133300550880 in words is "one hundred thirty-three billion, three hundred million, five hundred fifty thousand, eight hundred eighty".